4404400040440 has 64 divisors (see below), whose sum is σ = 10536374518560. Its totient is φ = 1651246817280.

The previous prime is 4404400040377. The next prime is 4404400040449. The reversal of 4404400040440 is 440400044044.

It is a junction number, because it is equal to n+sod(n) for n = 4404400040399 and 4404400040408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404400040449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13274002 + ... + 13601761.

Almost surely, 2^{4404400040440} is an apocalyptic number.

4404400040440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4404400040440 is an abundant number, since it is smaller than the sum of its proper divisors (6131974478120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4404400040440 is a wasteful number, since it uses less digits than its factorization.

4404400040440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26876032 (or 26876028 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4404400040440 its reverse (440400044044), we get a palindrome (4844800084484).

The spelling of 4404400040440 in words is "four trillion, four hundred four billion, four hundred million, forty thousand, four hundred forty".